This result agrees with Eq.21 of [1]}.
A comment should be made before proceeding further. In the Feynman rules for the coupling of \(\phi ,A,\sigma \)  with the magnetic quadrupole tail \(J_{ij}\)  ,appears a Levi-Civita tensor \(\epsilon _{ijk}\) . Following the prescriptions given in [2]} we assume that this \(\epsilon _{ijk}\)  is 3-dimensional and no d-dimensional, hence we should be careful when contracting two Levi-Civita tensors in using the appropriate 3-dimensional rules. A \(d\) -dimensional generalization of this multipole has been proposed in [3]}, [4]}.
